Coordinate-space calculation of QED corrections to the hadronic vacuum polarization contribution to ( g − 2) μ with SU(3) flavor symmetry

Lattice QCD (LQCD) has proven to be an important tool in understanding the tension between the experimental value for the anomalous magnetic moment of the muon ( g − 2) μ and its prediction from the standard model. The lattice provides a non-perturbative method for evaluating the hadronic contributions to ( g − 2) μ , which contributes the largest amount to the uncertainty of the theoretical prediction. Among these the hadronic vacuum polarization a μ HVP is the dominant contribution. In order to match the uncertainty of the experiment, lattice QCD needs to reach sub-percent precision. This requires the calculation of QED corrections to a μ HVP , which are represented by additional Feynman diagrams. We present a lattice calculation of the UV-finite (2+2) diagram at the SU(3) flavor symmetric point and compare this to the pseudoscalar meson exchange model with a vector-meson dominance parametrization of the transition form factor.